Extensions 1→N→G→Q→1 with N=C5 and Q=Q8⋊C8

Direct product G=N×Q with N=C5 and Q=Q8⋊C8
dρLabelID
C5×Q8⋊C8320C5xQ8:C8320,131

Semidirect products G=N:Q with N=C5 and Q=Q8⋊C8
extensionφ:Q→Aut NdρLabelID
C5⋊1(Q8⋊C8) = Dic10⋊1C8φ: Q8⋊C8/C4⋊C4 → C4 ⊆ Aut C5320C5:1(Q8:C8)320,210
C5⋊2(Q8⋊C8) = Dic5.12Q16φ: Q8⋊C8/C2×Q8 → C4 ⊆ Aut C5320C5:2(Q8:C8)320,268
C5⋊3(Q8⋊C8) = Dic10⋊3C8φ: Q8⋊C8/C4×C8 → C2 ⊆ Aut C5320C5:3(Q8:C8)320,14
C5⋊4(Q8⋊C8) = Dic10⋊4C8φ: Q8⋊C8/C4⋊C8 → C2 ⊆ Aut C5320C5:4(Q8:C8)320,42
C5⋊5(Q8⋊C8) = C20.26Q16φ: Q8⋊C8/C4×Q8 → C2 ⊆ Aut C5320C5:5(Q8:C8)320,93


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